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Finding the Fourth Proportional to 928.83, 1,282.11 and 597.27

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Solution

The fourth proportional to 928.83, 1,282.11 and 597.27 is: 824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.83 : 1,282.11 = 597.27 : x
  2. Step 2: Convert to fraction form
    928.83/1,282.11 = 597.27/x
  3. Step 3: Cross multiply
    928.83x = 1,282.11 × 597.27
  4. Step 4: Simplify right side
    928.83x = 765,765.84
  5. Step 5: Solve for x
    x = 765,765.84/928.83
  6. Step 6: Final answer
    x = 824.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.